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Finding the Fourth Proportional to 2,464.67, 3,399.02 and 1,580.30

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Solution

The fourth proportional to 2,464.67, 3,399.02 and 1,580.30 is: 2,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.67 : 3,399.02 = 1,580.30 : x
  2. Step 2: Convert to fraction form
    2,464.67/3,399.02 = 1,580.30/x
  3. Step 3: Cross multiply
    2,464.67x = 3,399.02 × 1,580.30
  4. Step 4: Simplify right side
    2,464.67x = 5,371,471.31
  5. Step 5: Solve for x
    x = 5,371,471.31/2,464.67
  6. Step 6: Final answer
    x = 2,179.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.